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Finding the Fourth Proportional to 510,198,319.60, 715,638,136.40 and 510,198,319.60

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Solution

The fourth proportional to 510,198,319.60, 715,638,136.40 and 510,198,319.60 is: 715,638,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,198,319.60 : 715,638,136.40 = 510,198,319.60 : x
  2. Step 2: Convert to fraction form
    510,198,319.60/715,638,136.40 = 510,198,319.60/x
  3. Step 3: Cross multiply
    510,198,319.60x = 715,638,136.40 × 510,198,319.60
  4. Step 4: Simplify right side
    510,198,319.60x = 365,117,374,632,955,584
  5. Step 5: Solve for x
    x = 365,117,374,632,955,584/510,198,319.60
  6. Step 6: Final answer
    x = 715,638,136.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.